162911877972480 has 7680 divisors, whose sum is σ = 810428129280000. Its totient is φ = 30776497274880.

The previous prime is 162911877972457. The next prime is 162911877972509. The reversal of 162911877972480 is 84279778119261.

162911877972480 is a `hidden beast` number, since 1 + 6 + 2 + 9 + 1 + 1 + 8 + 7 + 79 + 72 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (7680).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 162911877972399 and 162911877972408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 2761218270691 + ... + 2761218270749.

It is an arithmetic number, because the mean of its divisors is an integer number (105524496000).

Almost surely, 2^{162911877972480} is an apocalyptic number.

162911877972480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 162911877972480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405214064640000).

162911877972480 is an abundant number, since it is smaller than the sum of its proper divisors (647516251307520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

162911877972480 is a wasteful number, since it uses less digits than its factorization.

162911877972480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 170698752, while the sum is 72.

The spelling of 162911877972480 in words is "one hundred sixty-two trillion, nine hundred eleven billion, eight hundred seventy-seven million, nine hundred seventy-two thousand, four hundred eighty".